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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 97, page id 898203430:0289
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VARIAR. DISPOSITIONVM LIMIT. TIB. III..
L. F. M N A YI.
PR O1. 
Atam AB sic dividere in C, ut rectansuu sud Eota AB
in sui sermentum BC, ad quadratum reliqui seementi
AC sit in quavis ratione data E. D, adt D A.
IBsae daEX E. D, D A POnAnEE
in dircecum sic in E A, uE haeC
I A cum daca A B quemeum.
que conscicuane angulum l. AB;
ac Luper rOTZ F A, EC PATECM AV
describantur semicirculi A l l,
A CFD ad CamdeM PAPECM; aEquC
Lopra diameerum A li CrIsATUE
ex puncto D in majori Cemicie
culo perpendicularis DP; ac cen
erum E Cemicirculi minorisjun-
Satur cum puncto P per rectam II F, quae arcum A CFD sCCCF
in CF.
FE quoniam intra FTF. reperitur centrum majoris circuli, exicLLF,
quae est omnium maxima, major ipsa IIF, cui ab IIF. Pami potc-
ric EII aequalis. Junsatur modo recta lB, cui ex D asatur aequidi-
HanS DC, quae dacam aB lecet in C. Dico, rectansulum lub da-
ta a B in ejus legmencum BC. ad quadrarum reliqui AC else in ra-
tione data  D 2d D A.
sunsarur recta lC. Jam, quoniam in criangulis FHID, IIICE,
duo laccta IFI, IID aequantur duobus IFI, II CE alcerun alteri, ec
angulus 2d HI cM communis: reliqua laCeTA D I, CEI CrunE aqua-
lia, et reliqui anguli ad D; C2, aequales crunc; sed angulus adDre-
etus est, ex constructione; ergo et ille ad C rectus est; adeoquo tam
DE, quam lC cansie Cemicirculum A CFD ad punetaD, C; 2c ideo
rectaneulum AID, eguatur quadrato perpendicularis D F, vel re-
ctangulo V. D A; sed rectangulum E D A ad quadracum D A eAt, ue
laFUS H, D ad D A: ergorectangulum quoque AID ipAF D A equa-
Ic, 2d idem quadracum D A est, ut linea F D ad D A. Sed rectan-
Sulum AID ad quadratum D A est; ue rectangulum ABC ad qu2-
deatum C. A, ob lacerum omnium proporcionalicarem Factam ab ae qui-
distancibus IB, DC; ergo eciam rectangulun sub dara AB in sui
seomentum BC ad quadrarum segmenti reliqui C. A est, ut linca
E. D ad D A, sive in ratione daca. Quoderac laciendum.